2 a) Figure 1 shows sample proportions from samples of size n = 180 from a population. Estimate the value of the population parameter and estimate the standard error for the sample statistic. 0.71 0.74 0.77 0.80 0.83 0.86 0,89 Figure 1 Sampling distribution Round to two decimal places as needed and use correct notation for the population parameter. State any rule used for your estimate of the standard error (SE) and show some work. Population parameter SE b) Using the sampling distribution shown in Figure 2, indicate whether each sample mean is (1) reasonably likely to occur from a sample of size n=100, (ii) unusual but might occur occasionally, or (iil) extremely unlikely to ever occur. Figure 2 Sampling distribution 285 290 295 300 305 310 315 (a) x = 250 is (b) x = 305 is (c) x = 313 is Page 3 of 10